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Stationary Solutions of a Mathematical Model for Formation of Coral Patterns

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DOI: 10.4236/am.2015.66100    2,262 Downloads   2,611 Views  


A reaction-diffusion type mathematical model for growth of corals in a tank is considered. In this paper, we study stationary problem of the model subject to the homogeneous Neumann boundary conditions. We derive some existence results of the non-constant solutions of the stationary problem based on Priori estimations and Topological Degree theory. The existence of non-constant stationary solutions implies the existence of spatially variant time invariant solutions for the model.

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The authors declare no conflicts of interest.

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Somathilake, L. and Wedagedera, J. (2015) Stationary Solutions of a Mathematical Model for Formation of Coral Patterns. Applied Mathematics, 6, 1099-1106. doi: 10.4236/am.2015.66100.


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